Please answer this question with explanation. ....... spammers will be reported

Howie wants to get a car loan with 4% simple interest rate. If the car

Sergio039 [100]

Answer: $26,000

Explanation:

i = simple interest

P = 25,000 = amount loaned

r = interest rate in decimal form = 0.04

t = number of years = 1

So,

i = P*r*t

i = 25000*0.04*1

i = 1000

Howie needs to pay $1,000 in interest on top of the $25,000 loaned to him. In total, he needs to pay back 1,000+25,000 = 26,000 dollars.

6 0

2 years ago

There are 9 girls and 10 boys taking dance lessons. Write the ratio that compares the number of girls taking dance lessons to th

Tom [10]

Hey there!

9:19

This is because there are 19 total people taking dance lessons - 9 + 10 - and there are 9 girls taking dance lessons, so the ratio is girls to total students, or 9:19

Hope it helps and have a great day!

6 0

3 years ago

Each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard d

Verdich [7]

Answer:

(a) Between 27 and 31 pounds per month = 0.62465

(b) More than 30.2 pounds per month = 0.1357

Step-by-step explanation:

We are given that each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds and the variable is approximately normally distributed.

Let X = generation of newspaper for garbage or recycling

The z-score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population average = 28 pounds

$\sigma$ = population standard deviation = 2 pounds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

(a) Probability of household generating between 27 and 31 pounds per month is given by = P(27 pounds < X < 31 pounds) = P(X < 31 pounds) - P(X $\leq$ 27 pounds)

P(X < 31 pounds) = P( $\frac{X-\mu}{\sigma}$ < $\frac{31-28}{2}$ ) = P(Z < 1.50) = 0.93319

P(X $\leq$ 27 pounds) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{27-28}{2}$ ) = P(Z $\leq$ -0.50) = 1 - P(Z < 0.50)

= 1 - 0.69146 = 0.30854

{Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 and x = 0.50 in the z table which has an area of 0.93319 and 0.30854 respectively.}

Therefore, P(27 pounds < X < 31 pounds) = 0.93319 - 0.30854 = 0.62465

(b) Probability of household generating more than 30.2 pounds per month is given by = P(X > 30.2 pounds)

P(X > 30.2 pounds) = P( $\frac{X-\mu}{\sigma}$ > $\frac{30.2-28}{2}$ ) = P(Z > 1.10) = 1 - P(Z $\leq$ 1.10)

= 1 - 0.8643 = 0.1357

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.10 in the z table which has an area of 0.8643.

3 0

4 years ago

Change the word statement into an equation. Use x as the variable.

den301095 [7]

Answer:

$2x + 5 = 3 \\ is \: the \: required \: equation \\ \\ value \: of \: x \\ 2x = - 2 \\ x = - 1$

7 0

3 years ago

A password is to be made from a string of five characters chosen from the lowercase letters of the alphabet and the numbers 0 th

alex41 [277]

Using the Fundamental Counting Theorem, it is found that for each case, the total number of outcomes is:

a) 60,466,176.

b) 5,961,600.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is: